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Finding the Fourth Proportional to 126,005.40, 188,789.40 and 106,322.40

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Solution

The fourth proportional to 126,005.40, 188,789.40 and 106,322.40 is: 159,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,005.40 : 188,789.40 = 106,322.40 : x
  2. Step 2: Convert to fraction form
    126,005.40/188,789.40 = 106,322.40/x
  3. Step 3: Cross multiply
    126,005.40x = 188,789.40 × 106,322.40
  4. Step 4: Simplify right side
    126,005.40x = 20,072,542,102.56
  5. Step 5: Solve for x
    x = 20,072,542,102.56/126,005.40
  6. Step 6: Final answer
    x = 159,299.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.